STEP Questions Database

This database has questions from the 1986 Specimen papers to 2018. For more recent papers you can download these from the OCR STEP website. The "Topic" box will search for the main topic of the question (for example "inequalities", and the "Search" box will search for all the questions which have this topic somewhere in the question. If you search for "C1" in the topic box you will find the questions which do not need much A-level knowledge.

Browse the folder of past STEP papers. This folder contains all the STEP papers from 1987 to 2018, along with some of the markschemes and solutions (some of the older papers do not have mark schemes available).

2015

Step: 1

Question: 6 Euclidean geometry (open as a page)

Question: 7 Differentiation (open as a page)

Question: 8 Number theory (open as a page)

Question: 9 Projectile motion (open as a page)

Question: 10 Bus and rain (open as a page)

Question: 11 Friction (open as a page)

Question: 12 Poisson distribution (open as a page)

Question: 13 Dice (open as a page)

Step: 2

Question: 1 Analysis (open as a page)

Question: 2 Euclidean geometry (open as a page)

Question: 3 Proof by Induction (open as a page)

Question: 4 Curve sketching (open as a page)

Question: 5 Arctan sum (open as a page)

Question: 6 Integration (open as a page)

Question: 7 Coordinate geometry (open as a page)

Question: 8 Vector geometry (open as a page)

Question: 9 Rotating rods (open as a page)

Question: 10 Pulley (open as a page)

Question: 11 Collisions (open as a page)

Question: 12 Coin toss (open as a page)

Question: 13 Random variable (open as a page)

Step: 3

Question: 1 Integration (open as a page)

Question: 2 Analysis (open as a page)

Question: 3 Polar coordinates (open as a page)

Question: 4 Roots of polynomials (open as a page)

Question: 5 Number theory (open as a page)

Question: 6 Complex system (open as a page)

Question: 7 Differentiation (open as a page)

Question: 8 Differential equations (open as a page)

Question: 9 Elastic string (open as a page)

Question: 10 Kinematics (open as a page)

Question: 11 Circular Motion (open as a page)

Question: 12 Dice (open as a page)

Question: 13 Uniform distribution (open as a page)

2016

Step: 1

Question: 1 Graphs of floor functions (open as a page)

Question: 4 Touching circles (open as a page)

Question: 5 Curvature (open as a page)

Question: 6 Vector geometry (open as a page)

Question: 7 Integer sets (open as a page)

Question: 8 Generating functions (open as a page)

Question: 9 Static equilibrium: wall and rod (open as a page)

Question: 10 Particle collisions (open as a page)

Question: 11 Projectile and tower (open as a page)

Question: 12 Coin tossing (open as a page)

Question: 13 Internet tester (open as a page)

Step: 2

Question: 1 Coordinate geometry (open as a page)

Question: 2 Factor theorem (open as a page)

Question: 3 Roots of polynomial (open as a page)

Question: 4 Inequalities for rational function (open as a page)

Question: 5 Binomial identities (open as a page)

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